LCM of 834, 995, 399, 836, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 995, 399, 836, 845 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 834, 995, 399, 836, 845. So, keep reading to learn more.
Given numbers are 834,995,399,836,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,995,399,836,845 is 410345956020.
Find LCM of 834,995,399,836,845 with Prime Factorization
| 2 | 834, 995, 399, 836, 845 |
| 3 | 417, 995, 399, 418, 845 |
| 5 | 139, 995, 133, 418, 845 |
| 19 | 139, 199, 133, 418, 169 |
| 139, 199, 7, 22, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 139 x 199 x 7 x 22 x 169 = 410345956020
Therefore, the lowest common multiple of 834,995,399,836,845 is 410345956020.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
834 x 995 x 399 x 836 x 845 = 233897194931400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
834 : 1, 2, 3, 6, 139, 278, 417, 834
995 : 1, 5, 199, 995
399 : 1, 3, 7, 19, 21, 57, 133, 399
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,995,399,836,845, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
995:5x 199
399:3x 7x 19
836:2x 2x 11x 19
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 19 = 570
Therefore, the value for common factors is 570.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 233897194931400/(1x570)
LCM = 233897194931400/570
LCM = 410345956020
Thus, we can understand that the LCM of 834,995,399,836,845 is 410345956020.
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FAQs on LCM of 834, 995, 399, 836, 845
1. What is the LCM of 834, 995, 399, 836, 845?
Answer: LCM of 834, 995, 399, 836, 845 is 410345956020.
2. How to calculate the LCM of 834, 995, 399, 836, 845?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 834, 995, 399, 836, 845.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.